SOLUTION: A line passes through the points (4k-1,8k-8) and (3,-8) and has y-intercept of -6. a. Find the value of k. b. Write the equation of the line in slope-intercept form. P

Algebra ->  Linear-equations -> SOLUTION: A line passes through the points (4k-1,8k-8) and (3,-8) and has y-intercept of -6. a. Find the value of k. b. Write the equation of the line in slope-intercept form. P      Log On


   

Question 1057095: A line passes through the points (4k-1,8k-8) and (3,-8) and has y-intercept of -6.
a. Find the value of k.
b. Write the equation of the line in slope-intercept form.

Please help me.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Line passes through points (3,-8) and (0,-6).

Slope is %28-8-%28-6%29%29%2F%283-0%29=-2%2F3.

Equation in slope-intercept form is y=-%282%2F3%29x-6.
Substitute your unknown point in terms of k.
-
8k-8=-%282%2F3%29%284k-1%29-6

24k-24=-2%284k-1%29-18

24k-24=-8k%2B2-18

32k-24=-16

32k=-16%2B24

32k=8

highlight%28k=1%2F4%29